Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/481,7987/504
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 943,7987
Greatest Common Factor of Numerators i.e. GCF of 943,7987 is 1 .
LCM of Denominators means LCM of 481,504 as per the given fractions.
LCM of 481,504 is 242424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,7987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 7987
List of positive integer factors of 7987 that divides 7987 without a remainder.
1,7,49,163,1141,7987
Greatest Common Factor
We found the factors 943,7987 . The biggest common factor number is the GCF number.
So the greatest common factor 943,7987 is 1.
Lets's calculate LCM of 481,504
Given numbers has no common factors except 1. So, there LCM is their product i.e 242424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242424
Therefore, the GCF of Fractions 943/481,7987/504 is 1/242424
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 481,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,504) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,504) x common factors =1 x 1 = 1
LCM(481,504) = ( 481 × 504 ) / 1
LCM(481,504) = 242424 / 1
LCM(481,504) = 242424
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 943/481, 7987/504?
Answer: GCF of Numerators as per given numbers 943/481, 7987/504 is
GCF of Numerators i.e. for 943,7987 is 1
LCM of denominators i.e. for 481,504 is 242424.
Thus, GCF of Fractions is 1/242424.Finally, GCF of Fractions for 943/481, 7987/504 is 1/242424.